Given a plant P(s) = \frac{1}{s^2+1} and controller C(s) = \frac{s^2+1}{s^2+2s+2} in a unity feedback loop, what are the stability properties of this system?

Question

Given a plant   P(s) = \frac{1}{s^2+1}  and controller   C(s) = \frac{s^2+1}{s^2+2s+2}  in a unity feedback loop, what are the stability properties of this system?

Answer

The plant is stable, the closed loop interconnected system is also stable.

Answer

The plant is unstable, the closed loop interconnected system is stable.

Answer

The plant is unstable, the closed loop interconnected system is also unstable.

Answer

The plant is stable, the closed loop interconnected system is unstable.

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Given a plant P(s) = \frac{1}{s^2+1} and controller C(s) = \frac{s^2+1}{s^2...

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